33
Impedance/Reflection Mode
4.1.2 Equivalent
Circuits
The basic formulas for the serial equivalent circuit are:
(Eq. 4-5)
(Eq. 4-6)
If :
(Eq. 4-7)
If :
(Eq. 4-8)
where
…series resistance
…series reactance
…series capacitance
…series inductance
The basic formulas for the parallel equivalent circuit are:
(Eq. 4-9)
(Eq. 4-10)
If :
(Eq. 4-11)
If :
(Eq. 4-12)
where
…parallel resistance
…parallel reactance
…parallel inductance
…parallel capacitance
Z
Real
Z
( )
j
Imag
Z
( )
+
R
s
jX
s
+
=
=
R
s
Real
Z
( )
=
Imag
Z
( )
0
<
C
s
1
ω
Imag
Z
( )
----------------------------
=
Imag
Z
( )
0
>
L
s
Imag
Z
( )
ω
-----------------------
=
R
s
X
s
C
s
L
s
Y
Real
Y
( )
j
Imag
Y
( )
+
1
R
p
------
j
1
–
X
p
------
⎝ ⎠
⎛ ⎞
+
=
=
R
p
1
Real
Y
( )
-------------------
=
Imag
Y
( )
0
<
L
p
1
ω
Imag
Y
( )
----------------------------
=
Imag
Y
( )
0
>
C
p
Imag
Y
( )
ω
-----------------------
=
R
p
X
p
L
p
C
p
Summary of Contents for Bode 100
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